General solution of overdamped Josephson junction equation in the case of phase-lock

Details General solution of overdamped Josephson junction equation in the case of phase-lock General solution of overdamped Josephson junction equation in the case of phase-lock

2007-05-17

arxiv.org/abs/0705.2479v1

Physics

Mathematical Physics

28 pages

Scientific paper

The first order nonlinear ODE d phi(t)/d t + sin phi(t)=B+A cos(omega t),
(A,B,omega are real constants) is investigated. Its general solution is derived
in the case of the choice of parameters ensuring the phase-lock mode. It is
represented in terms of Floquet solution of double confluent Heun equation.

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